Respuesta :
The data on the amount of rain starts at 30 in January and ends up at 2 in July.
That means that the amount of rainfall is decreasing as the months pass by.
This discards the exponential function because exponential functions increase with time.
Linear functions can decrease with time, but they do so constantly, if one month the rainfall decreases by a certain amount, the next it will decrease by the same or a similar amount. In this case that is not true, because from the first month to the second it decreases from 30 to 12 (by 18), the next from 12 to 8 (by 4) the next from 8 to 3 (by 5). Also, we can see that the amount of rainfall goes down to 1 in May, and then it goes back up in June, so it is not a linear function.
The function that would best fit the data set is a quadratic function because a quadratic function has the shape of a parabola: first, it goes down, and then it goes back up. And we can see that that is what if happening with the data, it goes down to 1 and then back up again to 4 and 2.
Answer: C. Quadratic